tailieunhanh - Báo cáo " A combination of the identification algorithm and the modal superposition method for feedback active control of incomplete measured systems "

In a previous paper [1], the identification algorithm is presented for feedback active controlled systems. However, this method can only be applied to complete measured systems. The aim of this paper is to present a combination of the identification algorithm and the modal superposition method to control the incomplete measured systems. The system response is expanded by modal eigenfunction technique. The external excitation acting on some first modes is identified with a time delay and with a small error depending on the locations of the sensors. . | VNU Journal of Science Mathematics - Physics 23 2007 131-138 A combination of the identification algorithm and the modal superposition method for feedback active control of incomplete measured systems . Anh . Viet Institute of Mechanics 264 Doi can Hanoi Vietnam Received 15 November 2006 received in revised form 12 September 2007 Abstract. In a previous paper 1 the identification algorithm is presented for feedback active controlled systems. However this method can only be applied to complete measured systems. The aim of this paper is to present a combination of the identification algorithm and the modal superposition method to control the incomplete measured systems. The system response is expanded by modal eigenfunction technique. The external excitation acting on some first modes is identified with a time delay and with a small error depending on the locations of the sensors. Then the control forces will be generated to balance the identified excitations. A numerical simulation is applied to a building modeled as a cantilever beam subjected to base acceleration. 1. Introduction The active control method can be applied to many problems such as robot control ship autopilot airplane autopilot vibration control of vehicles or structures. Fig 1 provides a schematic diagram of an active control system. Fig. 1. Diagram of a structural control system. It consists of 3 main parts sensors to measure either external excitations or system responses or both computer controller to process the measured information and to compute necessary control force Corresponding author. Tel. 84-4-8326134 E-mail ndanh@ 131 132 . Anh . Viet VNU Journal of Science Mathematics - Physics 23 2007 131-138 based on a given control algorithm actuators to produce the required forces. When only the responses can be measured the method is called feedback active control. In recent years the active control method has been widely used to reduce the excessive vibrations of civil .